Sushchyk N. Inverse spectral problem for Sturm-Liouville operator with matrix-valued potential

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U004672

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

15-09-2011

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

Complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm-Liouville operators on the interval [0; 1] with matrix-valued potentials in the Sobolev space is given. An algorithm reconstructing the potential from the spectral data that is based on Krein's accelerant method is proposed.

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